Finding the Third Proportional to 49,297.50 and 77,231.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,297.50 : 77,231.25 = 77,231.25 : x
2. Step 2: Convert to fraction form
   49,297.50/77,231.25 = 77,231.25/x
3. Step 3: Cross multiply
   49,297.50x = 77,231.25 × 77,231.25
4. Step 4: Simplify right side
   49,297.50x = 5,964,665,976.56
5. Step 5: Solve for x
   x = 5,964,665,976.56/49,297.50
6. Step 6: Final answer
   x = 120,993.28